The purpose of Mathematics programme is to train qualified specialists who have advanced knowledge in pure and applied mathematics as well as strong problem solving skills so that they can successfully tackle challenging scientific, industrial, economic problems.

Why Mathematics?

The programme provides a solid background applicable branches of mathematics (differential equations, number theory, probability theory), develops necessary skills for research and applications.

Courses of Pure Mathematics in Study Programme make about two-thirds of the course. Much attention is paid to the theory of various equations (functional, differential, integral, stochastic) and various methods (numerical, variational, asymptotic) for solving such equations. Deeper studies are in Number theory, Measure theory, Probabilistic models.

Scientific research in number theory, differential equations and numerical analysis is realized.

The Master's thesis can be both from the pure mathematics and the applied mathematics.

Career opportunities

Graduates will be able to work in science and education institutions, high-technology industries, agencies of data analysis and social investigations, management institutions. Graduates will also be able to pursue a career in any other sphere, where their mathematical knowledge, analytical skills and ability to use specialized software are needed

International mobility

Students can participate in ERASMUS+ mobility programme which gives an opportunity to study at VU’s Partner University or do internship abroad.

English language proficiency - the level not lower than B2 (following the Common Framework of Reference for Language approved by the Council of Europe).

On-line entering exam.

Courses

COURSE INFORMATION

Course units (modules)

Credits

I YEAR

60

SEMESTER 1

30

Compulsory subjects (units)

20

Supplementary Chapters in Functional Analysis

10

Mathematical Writing at Higher Level

5

Function Spaces

5

Elective subjects (units)

10

Probabilistic Combinatorics

5

Analytic Number Theory

5

Integral Equations

5

Mathematics in Modern Finance

5

SEMESTER 2

30

Compulsory subjects (units)

20

Partial Differential Equations

10

Abstract Algebra

5

Parallel Computing

5

Elective subjects (units)

10

Insurance Probability Risk Models

5

Stochastic Processes Theory

5

Variational Methods for Nonlinear Phenomenons

5

Mathematics in Modern Finance

5

II YEAR

60

SEMESTER 3

30

Compulsory subjects (units)

20

Packages of Statistics

5

Probability Theory and Mathematical Statistics

10

Fundamentals of Scientific Research

5

Elective Courses

15

Dynamical Systems

5

Weak Convergence of Measures

5

Graph Theory

5

Mathematical Theory of Navier-Stokes Equations

5

Stochastic Differential Equations

5

Asymptotic Methods for Partial Differential Equations

5

SEMESTER 4

30

Compulsory subjects (units)

25

Master’s Thesis

25

Master’s Thesis Seminar

5

Key learning outcomes

A holder of a Master's degree in Mathematics has a good insight into mathematical propositions, is able to prove them and analyze their logical relations. He/she has good working abilities to create deterministic or stochastic mathematical model of a real process, to analyze and interpret it and present conclusions. He/she has skills in using computer facilities and information technologies. He/she is able to work creatively and is open to further education and development of his/her skills.